The positive realization problem for linear systems is to find conditions, for a given transfer function with nonnegative impulse response, to have a realization such that the resulting system is a positive system. Recently, it has been shown that, under a mild assumption on the long-term behaviour of the impulse response, this problem is related to the maximum modulus poles only. In this paper necessary and sufficient conditions for positive realizability of discrete-time systems are given. They show that also nondominant poles play a role in the most general case. Positive realizability conditions for the continuous-time case are also given.

On the existence of a positive realization / Farina, Lorenzo. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - 28:(1996), pp. 219-226. [10.1016/0167-6911(96)00033-3]

On the existence of a positive realization

FARINA, Lorenzo
1996

Abstract

The positive realization problem for linear systems is to find conditions, for a given transfer function with nonnegative impulse response, to have a realization such that the resulting system is a positive system. Recently, it has been shown that, under a mild assumption on the long-term behaviour of the impulse response, this problem is related to the maximum modulus poles only. In this paper necessary and sufficient conditions for positive realizability of discrete-time systems are given. They show that also nondominant poles play a role in the most general case. Positive realizability conditions for the continuous-time case are also given.
1996
01 Pubblicazione su rivista::01a Articolo in rivista
On the existence of a positive realization / Farina, Lorenzo. - In: SYSTEMS & CONTROL LETTERS. - ISSN 0167-6911. - 28:(1996), pp. 219-226. [10.1016/0167-6911(96)00033-3]
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11573/47072
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